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Finding the Fourth Proportional to 71,375.40, 106,978 and 29,253.76

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Solution

The fourth proportional to 71,375.40, 106,978 and 29,253.76 is: 43,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.40 : 106,978 = 29,253.76 : x
  2. Step 2: Convert to fraction form
    71,375.40/106,978 = 29,253.76/x
  3. Step 3: Cross multiply
    71,375.40x = 106,978 × 29,253.76
  4. Step 4: Simplify right side
    71,375.40x = 3,129,508,737.28
  5. Step 5: Solve for x
    x = 3,129,508,737.28/71,375.40
  6. Step 6: Final answer
    x = 43,845.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.